Alison does 8 math problems in 2 minutes. How long will it take her to do a set of 160 problems?

40 minutes.

Step-by-step explanation:

Hi there! I'm glad I was able to help you solve this problem!

We are given that Alison does 8 math problems in TWO minutes.

Considering this, we can conclude that Alison can do FOUR math problems in ONE minute. (That's pretty impressive, if you ask me!)

To recap how I solved this, I put 8/2 in simplest form, which left me with 4/1.

NOTE: Per 1 minute, Alison completes 4 problems.

By doing mental math myself, I concluded that my answer was 40 minutes for Alison to complete 160 math problems. I had to check it, though!

The GCF (Greatest Common Factor) of 160 and 40 was 40.

I divided both terms by the GCF, which is again 40.

160 ÷ 40 = 4

40 ÷ 40 = 1

This brings us back to our improper fraction in simplest form 4/1!

Therefore, Alison will take about 40 minutes to complete a set of 160 problems.

I hope this helped you out! Comment below if I can help you with anything else! :)

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a